diff --git a/object.c b/object.c
index 7dda2b6c0d49cd..75186a30c66868 100644
--- a/object.c
+++ b/object.c
@@ -1915,11 +1915,24 @@ rb_mod_eqq(VALUE mod, VALUE arg)
  * call-seq:
  *   mod <= other   ->  true, false, or nil
  *
- * Returns true if <i>mod</i> is a subclass of <i>other</i> or
- * is the same as <i>other</i>. Returns
- * <code>nil</code> if there's no relationship between the two.
- * (Think of the relationship in terms of the class definition:
- * "class A < B" implies "A < B".)
+ * Returns +true+ if +self+ is a descendant of +other+
+ * (+self+ is a subclass of +other+ or +self+ includes +other+) or
+ * if +self+ is the same as +other+:
+ *
+ *   Float <= Numeric    # => true
+ *   Array <= Enumerable # => true
+ *   Float <= Float      # => true
+ *
+ * Returns +false+ if +self+ is an ancestor of +other+
+ * (+self+ is a superclass of +other+ or +self+ is included in +other+):
+ *
+ *   Numeric <= Float    # => false
+ *   Enumerable <= Array # => false
+ *
+ * Returns +nil+ if there is no relationship between the two:
+ *
+ *   Float <= Hash        # => nil
+ *   Enumerable <= String # => nil
  */
 
 VALUE
@@ -1967,13 +1980,24 @@ rb_class_inherited_p(VALUE mod, VALUE arg)
  * call-seq:
  *   self < other -> true, false, or nil
  *
- * Returns whether +self+ is a subclass of +other+,
- * or +nil+ if there is no relationship between the two:
+ * Returns +true+ if +self+ is a descendant of +other+
+ * (+self+ is a subclass of +other+ or +self+ includes +other+):
+ *
+ *   Float < Numeric    # => true
+ *   Array < Enumerable # => true
+ *
+ * Returns +false+ if +self+ is an ancestor of +other+
+ * (+self+ is a superclass of +other+ or +self+ is included in +other+) or
+ * if +self+ is the same as +other+:
+ *
+ *   Numeric < Float    # => false
+ *   Enumerable < Array # => false
+ *   Float < Float      # => false
+ *
+ * Returns +nil+ if there is no relationship between the two:
  *
- *   Float < Numeric # => true
- *   Numeric < Float # => false
- *   Float < Float   # => false
- *   Float < Hash    # => nil
+ *   Float < Hash        # => nil
+ *   Enumerable < String # => nil
  *
  */
 
@@ -1989,11 +2013,24 @@ rb_mod_lt(VALUE mod, VALUE arg)
  * call-seq:
  *   mod >= other   ->  true, false, or nil
  *
- * Returns true if <i>mod</i> is an ancestor of <i>other</i>, or the
- * two modules are the same. Returns
- * <code>nil</code> if there's no relationship between the two.
- * (Think of the relationship in terms of the class definition:
- * "class A < B" implies "B > A".)
+ * Returns +true+ if +self+ is an ancestor of +other+
+ * (+self+ is a superclass of +other+ or +self+ is included in +other+) or
+ * if +self+ is the same as +other+:
+ *
+ *   Numeric >= Float    # => true
+ *   Enumerable >= Array # => true
+ *   Float >= Float      # => true
+ *
+ * Returns +false+ if +self+ is a descendant of +other+
+ * (+self+ is a subclass of +other+ or +self+ includes +other+):
+ *
+ *   Float >= Numeric    # => false
+ *   Array >= Enumerable # => false
+ *
+ * Returns +nil+ if there is no relationship between the two:
+ *
+ *   Float >= Hash        # => nil
+ *   Enumerable >= String # => nil
  *
  */
 
@@ -2011,20 +2048,23 @@ rb_mod_ge(VALUE mod, VALUE arg)
  * call-seq:
  *   self > other -> true, false, or nil
  *
- * If +self+ is a class, returns +true+ if +self+ is a superclass of +other+,
- * returns +false+ if +self+ is the same as +other+ or if +self+ is a subclass
- * of +other+, and returns +nil+ if there are no relationship between the two:
+ * Returns +true+ if +self+ is an ancestor of +other+
+ * (+self+ is a superclass of +other+ or +self+ is included in +other+):
  *
- *   Numeric > Float # => true
- *   Float > Numeric # => false
- *   Float > Float   # => false
- *   Float > Hash    # => nil
+ *   Numeric > Float    # => true
+ *   Enumerable > Array # => true
  *
- * If +self+ is a module, returns +true+ if +other+ includes +self+,
- * returns +false+ if +self+ is the same as +other+ or if +self+ includes
- * +other+, and returns +nil+ if there are no relationship between the two:
+ * Returns +false+ if +self+ is a descendant of +other+
+ * (+self+ is a subclass of +other+ or +self+ includes +other+) or
+ * if +self+ is the same as +other+:
  *
- *   Enumerable > Array # => true
+ *   Float > Numeric    # => false
+ *   Array > Enumerable # => false
+ *   Float > Float      # => false
+ *
+ * Returns +nil+ if there is no relationship between the two:
+ *
+ *   Float > Hash        # => nil
  *   Enumerable > String # => nil
  *
  */